p-adic Numbers (3rd ed.)

There are numbers of all kinds: rational, real, complex, p -adic, and more. The p -adic numbers are not as well known as the others, but they play a fundamental role in number theory and in other parts of mathematics, capturing information related to a chosen prime number p . They also allow us to use methods from calculus and analysis to obtain results in algebra and number theory. This book is an elementary introduction to p -adic numbers. Most other books on the subject are written for more a